Perhaps you should use 'sentience' or something more precise to mean 'qualia-experiencing'. The word 'consciousness' is quite overloaded and thus trips people up who haven't thought about this as extensively as you have. In particular many people take it to mean "self-awareness" (whether correctly or not), but it seems obvious to me that there are many sentient beings which lack self-awareness but still have an internal experience.
You cannot measure consciousness. You are consciousness thinking of itself as the human. Measurement is an event appearing in consciousness done by humans.
It's like persons inside GTA talking about measuring the Samsung monitor. It makes no sense cause they can never see the monitor or locate it. They appear in the monitor.
You absolutely can measure "various aspects of consciousness" -- for example, "how much of the last 24h has this consciousness been awake" seems simple. So your definition seems kind of weak, could you be more precise?
Conversely, in your definition, is consciousness the only "thing" that you would describe as not being able to measure various aspects about it? Are there any other objects or concepts which you also cannot measure various aspects about? If yes, what differentiates those things from consciousness?